Respuesta :

  • Use the definition of cosine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
  • Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
  • Replace the known values in the equation.
  • Simplify inside the radical.
  • Find the value of sine. 
  • Find the value of tangent.
  • Find the value of cotangent.
  • Find the value of secant.
  • Find the value of cosecant.
  • This is the solution to each trig value.
  1. sin(θ)=−√39/8
  2. cos(θ)=5/8
  3. tan(θ)=−√39/5
  4. cot(θ)=−5√39/39
  5. sec(θ)=8/5
  6. csc(θ)=−8√39/39